13505616 has 100 divisors (see below), whose sum is σ = 41456052. Its totient is φ = 4230144.

The previous prime is 13505593. The next prime is 13505641. The reversal of 13505616 is 61650531.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 3920400 + 9585216 = 1980^2 + 3096^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 13505616.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 21726 + ... + 22338.

Almost surely, 2^13505616 is an apocalyptic number.

13505616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13505616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20728026).

13505616 is an abundant number, since it is smaller than the sum of its proper divisors (27950436).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13505616 is a wasteful number, since it uses less digits than its factorization.

13505616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 13505616 is about 3674.9987755100. The cubic root of 13505616 is about 238.1431711597.

The spelling of 13505616 in words is "thirteen million, five hundred five thousand, six hundred sixteen".